Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question:
What methods are there for comparing a crowd?
Notes From Class:
In class we talked about how ratios and percentages are compared, and also how percentages and fractions were compared. But we mostly talked about how to find the percentages and fractions and how to turn it into a ratio or unit ratio. We also talked about how we converted fractions to percentages or the other way around.
December 5th: In class today we talked about dividing proper fractions, to make decimals (unit rate) before a quiz we had.
PROBLEM 5.1
Question: Sometimes the size of a crowd is estimated from aerial photographs. Imagine that the illustration below is an aerial photograph of a crowd ot a rally. Each dot represents one person. Estimate how many people attended the rally. Explain the method you used to arrive at your answer.
Answer: The method I used was splitting the different sections up and then counting how many there are in 1 of the boxes, then multiplying that by how many boxes there are. So for example, I split the box into 12 peices. Then I counted how many there were in 1 box, and after that I multiplied that answer by 12.
So my complete answer is: In 1 box there is 163 dots (people) aproximatly. And then I multiplied that by 12 which is then, 1956 people in the crowd at the rally.
1 Box of 163 people times 12 boxes equal 1596 people in the crowd.
5.1 FOLLOW UP:
Question: In your group, discuss ways your method might lead to a poor estimate of the crowd size.
Answer: It might lead to a poor estimate because each box there might be a different count, there might not be the same amount in each. And I might have counted wrong. So when I add it all up, the number would probably change everytime.
Problem 5.1 and F.U
November 23, 2010CSM
Big Idea:
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
- Essential Question:
What methods are there for comparing a crowd?- Notes From Class:
In class we talked about how ratios and percentages are compared, and also how percentages and fractions were compared. But we mostly talked about how to find the percentages and fractions and how to turn it into a ratio or unit ratio. We also talked about how we converted fractions to percentages or the other way around.December 5th: In class today we talked about dividing proper fractions, to make decimals (unit rate) before a quiz we had.
- PROBLEM 5.1
Question: Sometimes the size of a crowd is estimated from aerial photographs. Imagine that the illustration below is an aerial photograph of a crowd ot a rally. Each dot represents one person. Estimate how many people attended the rally. Explain the method you used to arrive at your answer.Answer: The method I used was splitting the different sections up and then counting how many there are in 1 of the boxes, then multiplying that by how many boxes there are. So for example, I split the box into 12 peices. Then I counted how many there were in 1 box, and after that I multiplied that answer by 12.
So my complete answer is: In 1 box there is 163 dots (people) aproximatly. And then I multiplied that by 12 which is then, 1956 people in the crowd at the rally.
- 5.1 FOLLOW UP:
Question: In your group, discuss ways your method might lead to a poor estimate of the crowd size.Answer: It might lead to a poor estimate because each box there might be a different count, there might not be the same amount in each. And I might have counted wrong. So when I add it all up, the number would probably change everytime.